關(guān)于偽單調(diào)平衡問(wèn)題和不動(dòng)點(diǎn)問(wèn)題的粘滯-次梯度方法
發(fā)布時(shí)間:2019-05-23 01:27
【摘要】:本文介紹了一個(gè)新的逼近偽單調(diào)平衡問(wèn)題的解和廣義漸近λ-嚴(yán)格偽壓縮映象不動(dòng)點(diǎn)的粘滯-次梯度方法,在Hilbert空間中建立了關(guān)于偽單調(diào)平衡問(wèn)題和一簇廣義漸近λ-嚴(yán)格偽壓縮映象公共不動(dòng)點(diǎn)的強(qiáng)收斂定理,并在收斂性分析中去掉了映象的一致Lipschitz連續(xù)性條件.
[Abstract]:In this paper, we introduce a new solution to the pseudo-monotone equilibrium problem and a viscous-subgradient method for the fixed point of a generalized asymptotically 位-strictly pseudo-contraction mapping. In this paper, we establish a strong convergence theorem for pseudo-monotone equilibrium problems and a family of generalized asymptotically strictly pseudo-contractive maps in Hilbert spaces, and remove the uniform Lipschitz continuity conditions for maps in convergence analysis.
【作者單位】: 重慶工商大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;
【基金】:國(guó)家自然科學(xué)基金項(xiàng)目(No.11471059) 重慶市前沿與應(yīng)用基礎(chǔ)研究項(xiàng)目(No.cstc2016jcyjA0101,No.cstc2014jcyjA00037) 重慶市教委科技研究項(xiàng)目(No.KJ1500623,No.KJ1500634)
【分類號(hào)】:O177.91
[Abstract]:In this paper, we introduce a new solution to the pseudo-monotone equilibrium problem and a viscous-subgradient method for the fixed point of a generalized asymptotically 位-strictly pseudo-contraction mapping. In this paper, we establish a strong convergence theorem for pseudo-monotone equilibrium problems and a family of generalized asymptotically strictly pseudo-contractive maps in Hilbert spaces, and remove the uniform Lipschitz continuity conditions for maps in convergence analysis.
【作者單位】: 重慶工商大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;
【基金】:國(guó)家自然科學(xué)基金項(xiàng)目(No.11471059) 重慶市前沿與應(yīng)用基礎(chǔ)研究項(xiàng)目(No.cstc2016jcyjA0101,No.cstc2014jcyjA00037) 重慶市教委科技研究項(xiàng)目(No.KJ1500623,No.KJ1500634)
【分類號(hào)】:O177.91
【相似文獻(xiàn)】
相關(guān)期刊論文 前10條
1 韓云芷;張秋紅;;關(guān)于連續(xù)函數(shù)的不動(dòng)點(diǎn)[J];保定師范?茖W(xué)校學(xué)報(bào);2007年02期
2 江嘉禾;多值映象的本尛不動(dòng)點(diǎn)[J];數(shù)學(xué)學(xué)報(bào);1961年04期
3 蔡爾,
本文編號(hào):2483473
本文鏈接:http://www.sikaile.net/kejilunwen/yysx/2483473.html
最近更新
教材專著